241204249440 has 2304 divisors, whose sum is σ = 1156459659264. Its totient is φ = 45984153600.

The previous prime is 241204249423. The next prime is 241204249501. The reversal of 241204249440 is 44942402142.

241204249440 is a `hidden beast` number, since 2 + 4 + 1 + 204 + 2 + 4 + 9 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 241204249395 and 241204249404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2134550824 + ... + 2134550936.

It is an arithmetic number, because the mean of its divisors is an integer number (501935616).

Almost surely, 2^241204249440 is an apocalyptic number.

241204249440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241204249440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578229829632).

241204249440 is an abundant number, since it is smaller than the sum of its proper divisors (915255409824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

241204249440 is a wasteful number, since it uses less digits than its factorization.

241204249440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 241204249440 in words is "two hundred forty-one billion, two hundred four million, two hundred forty-nine thousand, four hundred forty".